Find a force and couple at point O which together form a system which is equival

Question

Find a force and couple at point O which together form a system which is
equivalent to the system below.
For clarification:
- the 40 lb force lies along the direction of the positive x-axis
- the 20 lb force lies along the direction of the negative y-axis
- the 30 lb force lies along the direction of the negative z-axis
- the 40 lb-ft twisting couple is about the positive x-axis
- the 30 lb-ft bending couple is about the positive y-axis
- the 20 lb-ft bending couple is about the negative z-axis

Find a force and couple at point O which together form a system which is equivalent to the system below. For clarification: the 40 lb force lies along the direction of the positive x-axis the 20 lb force lies along the direction of the negative y-axis the 30 lb force lies along the direction of the negative z-axis the 40 lb-ft twisting couple is about the positive x-axis the 30 lb-ft bending couple is about the positive y-axis the 20 lb-ft bending couple is about the negative z-axis

Explanation / Answer

force at O = ( -40i +20j +30k) lb

couple at O = (-40i -180j +120k ) lb-ft

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